Finding the Third Proportional to 123,082 and 268,340

Step by Step Solution

1. Step 1: Write the proportion equation
   123,082 : 268,340 = 268,340 : x
2. Step 2: Convert to fraction form
   123,082/268,340 = 268,340/x
3. Step 3: Cross multiply
   123,082x = 268,340 × 268,340
4. Step 4: Simplify right side
   123,082x = 72,006,355,600
5. Step 5: Solve for x
   x = 72,006,355,600/123,082
6. Step 6: Final answer
   x = 585,027.51